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Finding the Third Proportional to 28,610 and 44,299

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Solution

The third proportional to 28,610 and 44,299 is: 68,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,610 : 44,299 = 44,299 : x
  2. Step 2: Convert to fraction form
    28,610/44,299 = 44,299/x
  3. Step 3: Cross multiply
    28,610x = 44,299 × 44,299
  4. Step 4: Simplify right side
    28,610x = 1,962,401,401
  5. Step 5: Solve for x
    x = 1,962,401,401/28,610
  6. Step 6: Final answer
    x = 68,591.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.